If V is the gravitational potential on the surface of the earth, then what is its value at the centre of the earth ?

Calculate the gravitational potential near the surface of the Earth.

The gravitational potential at centre of earth is

The weight of a body on the surface of the earth is 10 kg. Its weight at the centre of the earth is

The mass and diameter of a planet are half of thast of the earth. The ratio of gravitational potential energy of a body on the surface of the planet to that on the surface of the earth is

Derive an expression for Gravitational potential above the surface of the earth.

How is gravitational potential on the surface of earth, at a given point, related with acceleration due to gravity g? Take radius of earth = R.